GCF and LCM Calculator Logo

What is the Least Common Multiple of 44088 and 44108?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 44088 and 44108 is 486158376.

LCM(44088,44108) = 486158376

LCM Calculator and
and

Least Common Multiple of 44088 and 44108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44088 and 44108, than apply into the LCM equation.

GCF(44088,44108) = 4
LCM(44088,44108) = ( 44088 × 44108) / 4
LCM(44088,44108) = 1944633504 / 4
LCM(44088,44108) = 486158376

Least Common Multiple (LCM) of 44088 and 44108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44088 and 44108. First we will calculate the prime factors of 44088 and 44108.

Prime Factorization of 44088

Prime factors of 44088 are 2, 3, 11, 167. Prime factorization of 44088 in exponential form is:

44088 = 23 × 31 × 111 × 1671

Prime Factorization of 44108

Prime factors of 44108 are 2, 11027. Prime factorization of 44108 in exponential form is:

44108 = 22 × 110271

Now multiplying the highest exponent prime factors to calculate the LCM of 44088 and 44108.

LCM(44088,44108) = 23 × 31 × 111 × 1671 × 110271
LCM(44088,44108) = 486158376